Question

Trainingnumber of hours spent lifting weights a week Weight 96+ 11.9(Training) The data point is an individual who trains 5 hours a week and can bench 150 pounds. 6 Your answer is partially correct. Try again. (a) Find the predicted value for the data point and compute the residual. Enter the exact answers. lbs udy Predicted value- 155.5 5.5 lbs Residual= SHOW HINT LINK TO TEXT

Answer 1

Solution :-

Given data :

Regression equation is

Weight = 96 + 11.9 (training)

Here, Weight = maximum weight capable of bench pressing (pounds), and Training = number of hours spent lifting weights a week.

The data point is an individual who trains 5 hours a week and can bench 150 pounds.i.e, X = 5 and y = 150.

( a ) :-

Here we need to calculate the  predicted value for the data point.

Here data point is X = 5

Then, Weight = 96 + 11.9 (training)

   Weight = 96 + 11.9 ( 5 )

   Weight = 96 + 59.5

   Weight = 155.5

the  predicted value for the data point is $\hat{y}$ = 155.5

$\Rightarrow$Here we need to calculate the residual.

Here we know the equation i.e,

$e=y-\hat{y}$

$e=150-155.5$

$e=-5.5$

The residual is e = -5.5